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Finding the Fourth Proportional to 214.40, 321.60 and 92.56

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Solution

The fourth proportional to 214.40, 321.60 and 92.56 is: 138.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.40 : 321.60 = 92.56 : x
  2. Step 2: Convert to fraction form
    214.40/321.60 = 92.56/x
  3. Step 3: Cross multiply
    214.40x = 321.60 × 92.56
  4. Step 4: Simplify right side
    214.40x = 29,767.30
  5. Step 5: Solve for x
    x = 29,767.30/214.40
  6. Step 6: Final answer
    x = 138.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.